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232144223124312 = 23327940812978749
BaseRepresentation
bin110100110010001001001001…
…111101001011101101011000
31010102221202211001102111020100
4310302021021331023231120
5220411422332104434222
62141421330035455400
766616603154603142
oct6462111175135530
91112852731374210
10232144223124312
1167a718a2a6a104
1222053132757560
139c6c14c7386b5
144147ba9cc3c92
151bc890d6b34ac
hexd32249f4bb58

232144223124312 has 48 divisors (see below), whose sum is σ = 636682468500000. Its totient is φ = 76401896216256.

The previous prime is 232144223124311. The next prime is 232144223124347. The reversal of 232144223124312 is 213421322441232.

232144223124312 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 4 + 4 + 22 + 312 + 4 + 312 = 666.

232144223124312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232144223124311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20406483687 + ... + 20406495062.

It is an arithmetic number, because the mean of its divisors is an integer number (13264218093750).

Almost surely, 2232144223124312 is an apocalyptic number.

It is an amenable number.

232144223124312 is an abundant number, since it is smaller than the sum of its proper divisors (404538245375688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232144223124312 is a wasteful number, since it uses less digits than its factorization.

232144223124312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40812978840 (or 40812978833 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 232144223124312 its reverse (213421322441232), we get a palindrome (445565545565544).

The spelling of 232144223124312 in words is "two hundred thirty-two trillion, one hundred forty-four billion, two hundred twenty-three million, one hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 40812978749 81625957498 122438936247 163251914996 244877872494 326503829992 367316808741 489755744988 734633617482 979511489976 1469267234964 2938534469928 3224225321171 6448450642342 9672675963513 12896901284684 19345351927026 25793802569368 29018027890539 38690703854052 58036055781078 77381407708104 116072111562156 232144223124312